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Mathematics
Problem
The value of
∫
x
2
+
1
x
2
−
1
d
x
\int \frac{x^2+1}{x^2-1} dx
∫
x
2
−
1
x
2
+
1
d
x
is (a)
log
(
x
−
1
x
+
1
)
+
C
\log\left(\frac{x-1}{x+1}\right) + C
lo
g
(
x
+
1
x
−
1
)
+
C
(b)
log
(
x
+
1
x
−
1
)
+
C
\log\left(\frac{x+1}{x-1}\right) + C
lo
g
(
x
−
1
x
+
1
)
+
C
(c)
x
+
log
(
x
−
1
x
+
1
)
+
C
x + \log\left(\frac{x-1}{x+1}\right) + C
x
+
lo
g
(
x
+
1
x
−
1
)
+
C
(d)
log
(
x
2
−
1
)
+
C
\log(x^2 - 1) + C
lo
g
(
x
2
−
1
)
+
C
(2007)
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